In this paper, we deal with the problem of classifying the genera of quotient curves Hq/G. The groups G considered in the literature fix either a point or a triangle in the plane PG(2,q6) does not leave invariant any point or triangle in the plane. Also, the classification of subgroups G of PGU(3,q) satisfying this property is given up to isomorphism.
Quotients of the Hermitian curve from subgroups of $$mathrmPGU(3,q)$$ PGU ( 3 , q ) without fixed points or triangles
Zini, Giovanni
2020
Abstract
In this paper, we deal with the problem of classifying the genera of quotient curves Hq/G. The groups G considered in the literature fix either a point or a triangle in the plane PG(2,q6) does not leave invariant any point or triangle in the plane. Also, the classification of subgroups G of PGU(3,q) satisfying this property is given up to isomorphism.File in questo prodotto:
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